Question

A random sample of 30 colleges from kiplinger's list of the best values in private college provided the data shown in the datafile named bestprivatecolleges (kiplinger, october 2013). the variable named admit rate (%) shows the percentage of students that applied to the college and were admitted, and the variable named 4-yr grad. rate (%) shows the percentage of students that were admitted and graduated in four years.

Answer 1

Answer:

Explanation:

(a). plotting using Excel sheet, we have the picture uploaded below

(b) The sample correlation coefficient is also computed using Excel Correlation  function, given thus;

Admit Rate (%) 4-Year Grad Rate (%)

 44      73

 71      62

 29      89

 39      86

 66      55

 28      73

 54      63

 10      88

 26      84

 43      77

 76      71

 67      68

 6      86

 66      59

 81      66

 18       88

 31       71

 9       84

 15       86  

 8       88

 17        84

 56         62

 51         79  

 54         68

 75         50

 13         86

 40          70

 67          68

 41          47

 68          71

∴ The value of the sample Correlation Coefficient is = -0.76

This tell us that the two variables are moderately linear inverse correlated.

cheers i hope this helps.